{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--BOOK_INFORMATION-->\n",
    "<img align=\"left\" style=\"padding-right:10px;\" src=\"figures/PDSH-cover-small.png\">\n",
    "\n",
    "*This notebook contains an excerpt from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).*\n",
    "\n",
    "*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [Customizing Matplotlib: Configurations and Stylesheets](04.11-Settings-and-Stylesheets.ipynb) | [Contents](Index.ipynb) | [Geographic Data with Basemap](04.13-Geographic-Data-With-Basemap.ipynb) >\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/04.12-Three-Dimensional-Plotting.ipynb\"><img align=\"left\" src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\" title=\"Open and Execute in Google Colaboratory\"></a>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Three-Dimensional Plotting in Matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib was initially designed with only two-dimensional plotting in mind.\n",
    "Around the time of the 1.0 release, some three-dimensional plotting utilities were built on top of Matplotlib's two-dimensional display, and the result is a convenient (if somewhat limited) set of tools for three-dimensional data visualization.\n",
    "three-dimensional plots are enabled by importing the ``mplot3d`` toolkit, included with the main Matplotlib installation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from mpl_toolkits import mplot3d"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once this submodule is imported, a three-dimensional axes can be created by passing the keyword ``projection='3d'`` to any of the normal axes creation routines:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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w+tvf/oYXXngBO3bswJtvvomRI0di4sSJePzxxzU9Rzabxdy5c/Hee++hb9++qK+vx4wZ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bfc8780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With this three-dimensional axes enabled, we can now plot a variety of three-dimensional plot types. \n",
    "Three-dimensional plotting is one of the functionalities that benefits immensely from viewing figures interactively rather than statically in the notebook; recall that to use interactive figures, you can use ``%matplotlib notebook`` rather than ``%matplotlib inline`` when running this code."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Three-dimensional Points and Lines\n",
    "\n",
    "The most basic three-dimensional plot is a line or collection of scatter plot created from sets of (x, y, z) triples.\n",
    "In analogy with the more common two-dimensional plots discussed earlier, these can be created using the ``ax.plot3D`` and ``ax.scatter3D`` functions.\n",
    "The call signature for these is nearly identical to that of their two-dimensional counterparts, so you can refer to [Simple Line Plots](04.01-Simple-Line-Plots.ipynb) and [Simple Scatter Plots](04.02-Simple-Scatter-Plots.ipynb) for more information on controlling the output.\n",
    "Here we'll plot a trigonometric spiral, along with some points drawn randomly near the line:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VxowZ0+H3CgsL1ewXl8vFvn37WLZsGZIkcfHFFzNw4EDVHSdSHo0yB451gUOq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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e2fd898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "\n",
    "# Data for a three-dimensional line\n",
    "zline = np.linspace(0, 15, 1000)\n",
    "xline = np.sin(zline)\n",
    "yline = np.cos(zline)\n",
    "ax.plot3D(xline, yline, zline, 'gray')\n",
    "\n",
    "# Data for three-dimensional scattered points\n",
    "zdata = 15 * np.random.random(100)\n",
    "xdata = np.sin(zdata) + 0.1 * np.random.randn(100)\n",
    "ydata = np.cos(zdata) + 0.1 * np.random.randn(100)\n",
    "ax.scatter3D(xdata, ydata, zdata, c=zdata, cmap='Greens');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that by default, the scatter points have their transparency adjusted to give a sense of depth on the page.\n",
    "While the three-dimensional effect is sometimes difficult to see within a static image, an interactive view can lead to some nice intuition about the layout of the points."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Three-dimensional Contour Plots\n",
    "\n",
    "Analogous to the contour plots we explored in [Density and Contour Plots](04.04-Density-and-Contour-Plots.ipynb), ``mplot3d`` contains tools to create three-dimensional relief plots using the same inputs.\n",
    "Like two-dimensional ``ax.contour`` plots, ``ax.contour3D`` requires all the input data to be in the form of two-dimensional regular grids, with the Z data evaluated at each point.\n",
    "Here we'll show a three-dimensional contour diagram of a three-dimensional sinusoidal function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def f(x, y):\n",
    "    return np.sin(np.sqrt(x ** 2 + y ** 2))\n",
    "\n",
    "x = np.linspace(-6, 6, 30)\n",
    "y = np.linspace(-6, 6, 30)\n",
    "\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = f(X, Y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UCt544w1uvvlmxo4dyz333NOh5+A59+348ePCIXEB4PdHumcjWwndIQ10Rx6u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BIREKZcjFODadJDoODuwmazSQGKMjH9xQxXt+5qrwUAUZkuqQNmt9o0Ry+uVEPwGLr7jJkvpVzU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\nKbFT0DZMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e6a7fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.contour3D(X, Y, Z, 50, cmap='binary')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "ax.set_zlabel('z');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sometimes the default viewing angle is not optimal, in which case we can use the ``view_init`` method to set the elevation and azimuthal angles. In the following example, we'll use an elevation of 60 degrees (that is, 60 degrees above the x-y plane) and an azimuth of 35 degrees (that is, rotated 35 degrees counter-clockwise about the z-axis):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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xiWYwGOZVdIWjvoXPd+H7WKVSEY1G5QdbNKkymcw8KSEej8ubkDqEX1hsrtDp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\nFQBQX1+PrKwsjBw5EhMnTkRmZ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9CozYCYtRKAZapB/j2/J7gyq1cDtJzVUqbG4hOBzuVy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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e6a7fd0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax.view_init(60, 35)\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, note that this type of rotation can be accomplished interactively by clicking and dragging when using one of Matplotlib's interactive backends."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Wireframes and Surface Plots\n",
    "\n",
    "Two other types of three-dimensional plots that work on gridded data are wireframes and surface plots.\n",
    "These take a grid of values and project it onto the specified three-dimensional surface, and can make the resulting three-dimensional forms quite easy to visualize.\n",
    "Here's an example of using a wireframe:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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SKVpB5K+//kKv1zNr1iyWLl1a5Hb8/PyYNGkSAQEBXLlypdDyM2fO0KpVKwYOHIggCOzY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\n8+EtPkAn4IwZTVKoxPwfRbN8xzdvuqAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e6a7da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_wireframe(X, Y, Z, color='black')\n",
    "ax.set_title('wireframe');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A surface plot is like a wireframe plot, but each face of the wireframe is a filled polygon.\n",
    "Adding a colormap to the filled polygons can aid perception of the topology of the surface being visualized:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MdpKuItCNa3A0lJSPFh5QRQjIiAjm/HHYyqSobKIyhimKUP0Qrv57rMjN5+24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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ecb7860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_surface(X, Y, Z, rstride=1, cstride=1,\n",
    "                cmap='viridis', edgecolor='none')\n",
    "ax.set_title('surface');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that though the grid of values for a surface plot needs to be two-dimensional, it need not be rectilinear.\n",
    "Here is an example of creating a partial polar grid, which when used with the ``surface3D`` plot can give us a slice into the function we're visualizing:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qsdzpWLOKXoiiiHa7Ta/Xo1wub2jZzno/ZulY9H2ftbU14jhmYWGBer0+INzl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\n4Q348Pm8KD4ZxaugeGQ8Xg+yT8bjVZA8Ium4Rqw/TqI/zi8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h7+D4wjUlpEsVErPKiC2p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Oe5+A+EY6R7pOP/t3c/L61cUQDHvxfShX3SUlDMThpIIUkDGvwFllTsJoLVjQXduPAfkFDEgFVw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\nde+rhRf0HQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10eae2128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "r = np.linspace(0, 6, 20)\n",
    "theta = np.linspace(-0.9 * np.pi, 0.8 * np.pi, 40)\n",
    "r, theta = np.meshgrid(r, theta)\n",
    "\n",
    "X = r * np.sin(theta)\n",
    "Y = r * np.cos(theta)\n",
    "Z = f(X, Y)\n",
    "\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_surface(X, Y, Z, rstride=1, cstride=1,\n",
    "                cmap='viridis', edgecolor='none');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Surface Triangulations\n",
    "\n",
    "For some applications, the evenly sampled grids required by the above routines is overly restrictive and inconvenient.\n",
    "In these situations, the triangulation-based plots can be very useful.\n",
    "What if rather than an even draw from a Cartesian or a polar grid, we instead have a set of random draws?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "theta = 2 * np.pi * np.random.random(1000)\n",
    "r = 6 * np.random.random(1000)\n",
    "x = np.ravel(r * np.sin(theta))\n",
    "y = np.ravel(r * np.cos(theta))\n",
    "z = f(x, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We could create a scatter plot of the points to get an idea of the surface we're sampling from:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RDqs89aCXXVui3P9HD8VFRn75gMwp14+gaWcHP32ijX27gtgMUW652c78540E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\nONjCewrgEsX/B15cARoDcRRCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e7947b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "ax.scatter(x, y, z, c=z, cmap='viridis', linewidth=0.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This leaves a lot to be desired.\n",
    "The function that will help us in this case is ``ax.plot_trisurf``, which creates a surface by first finding a set of triangles formed between adjacent points (remember that x, y, and z here are one-dimensional arrays):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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bhnS3imyVUhP/zr22xDkJ8gLc/i1fGuzslGwP+kGJk8/j3P9NQ3ksLbx4rPTpKE1CQF33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\ngXJnk5pDg/DdvfmUo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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ef33e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_trisurf(x, y, z,\n",
    "                cmap='viridis', edgecolor='none');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result is certainly not as clean as when it is plotted with a grid, but the flexibility of such a triangulation allows for some really interesting three-dimensional plots.\n",
    "For example, it is actually possible to plot a three-dimensional Möbius strip using this, as we'll see next."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example: Visualizing a Möbius strip\n",
    "\n",
    "A Möbius strip is similar to a strip of paper glued into a loop with a half-twist.\n",
    "Topologically, it's quite interesting because despite appearances it has only a single side!\n",
    "Here we will visualize such an object using Matplotlib's three-dimensional tools.\n",
    "The key to creating the Möbius strip is to think about it's parametrization: it's a two-dimensional strip, so we need two intrinsic dimensions. Let's call them $\\theta$, which ranges from $0$ to $2\\pi$ around the loop, and $w$ which ranges from -1 to 1 across the width of the strip:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "theta = np.linspace(0, 2 * np.pi, 30)\n",
    "w = np.linspace(-0.25, 0.25, 8)\n",
    "w, theta = np.meshgrid(w, theta)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now from this parametrization, we must determine the *(x, y, z)* positions of the embedded strip.\n",
    "\n",
    "Thinking about it, we might realize that there are two rotations happening: one is the position of the loop about its center (what we've called $\\theta$), while the other is the twisting of the strip about its axis (we'll call this $\\phi$). For a Möbius strip, we must have the strip makes half a twist during a full loop, or $\\Delta\\phi = \\Delta\\theta/2$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "phi = 0.5 * theta"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we use our recollection of trigonometry to derive the three-dimensional embedding.\n",
    "We'll define $r$, the distance of each point from the center, and use this to find the embedded $(x, y, z)$ coordinates:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# radius in x-y plane\n",
    "r = 1 + w * np.cos(phi)\n",
    "\n",
    "x = np.ravel(r * np.cos(theta))\n",
    "y = np.ravel(r * np.sin(theta))\n",
    "z = np.ravel(w * np.sin(phi))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, to plot the object, we must make sure the triangulation is correct. The best way to do this is to define the triangulation *within the underlying parametrization*, and then let Matplotlib project this triangulation into the three-dimensional space of the Möbius strip.\n",
    "This can be accomplished as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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00Moo0XVNYwXzVbJTEVlrlGU3pP61y9jSY+DePsIwxDjZu+n9lb9vGAWUWYkG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\ngQIA/w9ULKic9q2iRAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e69c358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# triangulate in the underlying parametrization\n",
    "from matplotlib.tri import Triangulation\n",
    "tri = Triangulation(np.ravel(w), np.ravel(theta))\n",
    "\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_trisurf(x, y, z, triangles=tri.triangles,\n",
    "                cmap='viridis', linewidths=0.2);\n",
    "\n",
    "ax.set_xlim(-1, 1); ax.set_ylim(-1, 1); ax.set_zlim(-1, 1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Combining all of these techniques, it is possible to create and display a wide variety of three-dimensional objects and patterns in Matplotlib."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [Customizing Matplotlib: Configurations and Stylesheets](04.11-Settings-and-Stylesheets.ipynb) | [Contents](Index.ipynb) | [Geographic Data with Basemap](04.13-Geographic-Data-With-Basemap.ipynb) >\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/04.12-Three-Dimensional-Plotting.ipynb\"><img align=\"left\" src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\" title=\"Open and Execute in Google Colaboratory\"></a>\n"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
